Perez-Galvan, C;
Bogle, IDL;
(2017)
Global Optimisation for Dynamic Systems using Interval Analysis.
Computers and Chemical Engineering
, 107
pp. 343-356.
10.1016/j.compchemeng.2017.02.028.
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Abstract
Engineers seek optimal solutions when designing dynamic systems but a crucial element is to ensure bounded performance over time. Finding a globally optimal bounded trajectory requires the solution of the ordinary differential equation (ODE) systems in a verified way. To date these methods are only able to address low dimensional problems and for larger systems are unable to prevent gross overestimation of the bounds. In this paper we show how interval contractors can be used to obtain tightly bounded optima. A verified solver constructs tight upper and lower bounds on the dynamic variables using contractors for initial value problems (IVP) for ODEs within a global optimisation method. The solver provides guaranteed bound on the objective function and on the first order sensitivity equations in a branch and bound framework. The method is compared with three previously published methods on three examples from process engineering.
| Type: | Article |
|---|---|
| Title: | Global Optimisation for Dynamic Systems using Interval Analysis |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1016/j.compchemeng.2017.02.028 |
| Publisher version: | http://dx.doi.org/10.1016/j.compchemeng.2017.02.02... |
| Language: | English |
| Additional information: | This manuscript version is published under a Creative Commons Attribution Non-commercial Non-derivative 4.0 International licence (CC BY-NC-ND 4.0). This licence allows you to share, copy, distribute and transmit the work for personal and non-commercial use providing author and publisher attribution is clearly stated. Further details about CC BY licences are available at http://creativecommons.org/licenses/by/4.0. Access may be initially restricted by the publisher. |
| Keywords: | Global optimisation; Dynamic systems; Verified integration; Interval analysis; Interval contractors |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices UCL > Provost and Vice Provost Offices > VP: Research |
| URI: | https://discovery.ucl.ac.uk/id/eprint/1544102 |
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